This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344475 #13 Jan 09 2025 10:14:32 %S A344475 1,0,4,6,4,7,7,6,3,7,7,3,1,6,4,8,5,3,8,5,4,1,6,9,7,2,7,7,1,8,1,9,3,3, %T A344475 9,4,8,2,4,1,4,2,6,9,1,1,5,7,2,9,7,9,8,7,7,1,9,7,0,9,0,6,8,0,7,2,4,6, %U A344475 6,8,6,3,3,1,0,1,9,8,1,7,6,7,7,7,6,7,2,7,9,8,7,7,8,9,6,5,5,7,4,5,3,0,8,7,9 %N A344475 Decimal expansion of the value of the Dickman function at phi + 1 = phi^2 = (3 + sqrt(5))/2 (A104457). %D A344475 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 286. %H A344475 Pieter Moree, A special value of Dickman's function, Math. Student, Vol. 64 (1995), pp. 47-50; <a href="https://schoolbooksarchive.azimpremjiuniversity.edu.in/handle/20.500.12497/11803">entire volume</a>. %H A344475 Pieter Moree, <a href="https://doi.org/10.1016/j.indag.2013.03.004">Nicolaas Govert de Bruijn, the enchanter of friable integers</a>, Indagationes Mathematicae, Vol. 24, No. 4 (2013), pp. 774-801. %H A344475 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DickmanFunction.html">Dickman Function</a>. %H A344475 Wikipedia, <a href="https://en.wikipedia.org/wiki/Dickman_function">Dickman function</a>. %F A344475 Equals 1 - 2*log(phi) + log(phi)^2 - Pi^2/60 (Moree, 1995). %e A344475 0.10464776377316485385416972771819339482414269115729... %t A344475 RealDigits[1 - 2*Log[GoldenRatio] + Log[GoldenRatio]^2 - Pi^2/60, 10, 100][[1]] %o A344475 (PARI) my(phi = quadgen(5)); 1 - 2*log(phi) + log(phi)^2 - Pi^2/60 \\ _Amiram Eldar_, Jan 09 2025 %Y A344475 Cf. A000796, A001622, A002390, A013661, A104457, A344476. %Y A344475 Cf. A175475, A244009 (value at 1/2), A245238, A309638. %K A344475 nonn,cons %O A344475 0,3 %A A344475 _Amiram Eldar_, May 20 2021 %E A344475 More terms from _Amiram Eldar_, Jan 09 2025